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Finding the Fourth Proportional to 9,189.27, 13,784.04 and 4,815.27

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Solution

The fourth proportional to 9,189.27, 13,784.04 and 4,815.27 is: 7,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.27 : 13,784.04 = 4,815.27 : x
  2. Step 2: Convert to fraction form
    9,189.27/13,784.04 = 4,815.27/x
  3. Step 3: Cross multiply
    9,189.27x = 13,784.04 × 4,815.27
  4. Step 4: Simplify right side
    9,189.27x = 66,373,874.29
  5. Step 5: Solve for x
    x = 66,373,874.29/9,189.27
  6. Step 6: Final answer
    x = 7,222.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.